Bergman theory for the inhomogeneous Cimmino system

José Oscar González-Cervantes; Dante Arroyo-Sánchez; Juan Bory-Reyes

doi:10.1016/j.jmaa.2022.126681

Bergman theory for the inhomogeneous Cimmino system

José Oscar González-Cervantes, Dante Arroyo-Sánchez, Juan Bory-Reyes

Research output: Contribution to journal › Article › peer-review

Abstract

We first prove a Cauchy's integral theorem and a Cauchy-type formula for certain inhomogeneous Cimmino system from quaternionic analysis perspective. The second part of the paper directs the attention towards some applications of the mentioned results, dealing in particular with four kinds of weighted Bergman spaces, reproducing kernels, projection and conformal invariant properties.

Translated title of the contribution	Teoría de Bergman para el sistema Cimmino no homogéneo
Original language	English
Article number	126681
Journal	Journal of Mathematical Analysis and Applications
Volume	518
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2022.126681
State	Published - 1 Feb 2023

Keywords

Bergman spaces
Cimmino system
Conformally covariant and invariant properties
Reproducing kernel

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10.1016/j.jmaa.2022.126681

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abstract = "We first prove a Cauchy's integral theorem and a Cauchy-type formula for certain inhomogeneous Cimmino system from quaternionic analysis perspective. The second part of the paper directs the attention towards some applications of the mentioned results, dealing in particular with four kinds of weighted Bergman spaces, reproducing kernels, projection and conformal invariant properties.",

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AU - Arroyo-Sánchez, Dante

AU - Bory-Reyes, Juan

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N2 - We first prove a Cauchy's integral theorem and a Cauchy-type formula for certain inhomogeneous Cimmino system from quaternionic analysis perspective. The second part of the paper directs the attention towards some applications of the mentioned results, dealing in particular with four kinds of weighted Bergman spaces, reproducing kernels, projection and conformal invariant properties.

AB - We first prove a Cauchy's integral theorem and a Cauchy-type formula for certain inhomogeneous Cimmino system from quaternionic analysis perspective. The second part of the paper directs the attention towards some applications of the mentioned results, dealing in particular with four kinds of weighted Bergman spaces, reproducing kernels, projection and conformal invariant properties.

KW - Bergman spaces

KW - Cimmino system

KW - Conformally covariant and invariant properties

KW - Reproducing kernel

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VL - 518

JO - Journal of Mathematical Analysis and Applications

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Bergman theory for the inhomogeneous Cimmino system

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Keywords

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